Let r,s > 0 be interest rates. Below is a calendar of May 2022 which describes an interest rate scheme. Each day is either blank or contains an r or an s. For those days that contain either an r or an s, the interest rate is applied at the end of that day. These are not annual percentage rates. May 2022 Sun Mon Tue Wed Thu Fri Sat 1 2 3 4 6. 7 r S 8 9. 10 11 12 13 14 18 19 20 15 16 17 21 22 23 24 25 26 27 28 29 30 31 S (i) applied according to the given scheme, what is the value of your account on Friday, May 27th? You invest P dollars on Wednesday, May 4th and Wednesday, May 18th. If interest is (ii) Angelo invests $100 on Sunday, May 1st and withdraws the money on Saturday, May 14th. Aziz invests $100 on Wednesday, May 4th and withdraws the money on Saturday, May 21st. Assuming the amount of money each person has does not change once they have withdrawn it from the account, who has more money on May 31st? Your explanation can use either a mathematical or financial argument. Angelo and Aziz start with no money in their accounts at the beginning of the month. On May 1st you take out a loan for L dollars, and interest will compound according to the (ii) prescribed scheme. You will make a payment of P dollars on May 7 and May 14, after which the loan will be paid off. What is P? Give your answer in terms of L,r, and s.

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